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arXiv 2302.14756cond-mat.softnlin.PS
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排斥性悬浮液的致密膨胀

Compact expansion of a repulsive suspension

Matan Yah Ben Zion, Naomi Oppenheimer

AI总结:

本研究结合理论、模拟与实验,揭示排斥性粒子集合从高密度非线性扩散$t^{1/4}$膨胀到长时热运动$t^{1/2}$膨胀的致密扩展机制,并以对数增长阶段连接两种自相似区域。

摘要:

短程排斥作用支配着从原子到动物等各种物质的动力学。通过理论、模拟和实验,我们发现排斥性粒子集合以具有清晰边界的致密形式扩展,这与布朗粒子的扩散式扩展形成对比。从粒子对相互作用出发,在高密度下,多体动力学遵循非线性扩散,呈现自相似膨胀,增长规律为$t^{1/4}$;在更长时间尺度上,热运动占据主导,呈现经典的$t^{1/2}$膨胀。由最近邻相互作用控制的对数增长将这两个自相似区域连接起来。

英文摘要:

Short-range repulsion governs the dynamics of matter from atoms to animals. Using theory, simulations, and experiments, we find that an ensemble of repulsive particles spreads compactly with a sharp boundary, in contrast to the diffusive spreading of Brownian particles. Starting from the pair interactions, at high densities, the many-body dynamics follow non-linear diffusion with a self-similar expansion, growing as $t^{1/4}$; At longer times, thermal motion dominates with the classic $t^{1/2}$ expansion. A logarithmic growth controlled by nearest-neighbor interactions connects the two self-similar regimes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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